Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Celikbas, Ela"'
In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results ov
Externí odkaz:
http://arxiv.org/abs/2408.02820
This article investigates the traces of certain modules over rings of invariants associated with finite groups. More precisely, we provide a formula for computing the traces of arbitrary semi-invariants, thereby contributing to the understanding of t
Externí odkaz:
http://arxiv.org/abs/2312.00983
We study a modified version of the classical Ulrich modules, which we call $c$-Ulrich. Unlike the traditional setting, $c$-Ulrich modules always exist. We prove that these modules retain many of the essential properties and applications observed in t
Externí odkaz:
http://arxiv.org/abs/2308.06606
We consider fiber products of complete, local, noetherian algebras over a fixed residue field. Some of these rings cannot be minimally resolved with a free resolution using the recent work of the second author. We develop techniques to modify Geller'
Externí odkaz:
http://arxiv.org/abs/2307.05715
A semidualizing module is a generalization of Grothendieck's dualizing module. For a local Cohen-Macaulay ring $R$, the ring itself and its canonical module are always realized as (trivial) semidualizing modules. Reasonably, one might ponder the ques
Externí odkaz:
http://arxiv.org/abs/2306.14989
We provide a characterization of the almost Gorenstein property of determinantal rings of a symmetric matrix of indeterminates over an infinite field. We give an explicit formula for ranks of the last two modules in the resolution of determinantal ri
Externí odkaz:
http://arxiv.org/abs/2108.07778
Autor:
Celikbas, Ela, Dufresne, Emilie, Fouli, Louiza, Gorla, Elisa, Lin, Kuei-Nuan, Polini, Claudia, Swanson, Irena
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a $2\times n$ sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the
Externí odkaz:
http://arxiv.org/abs/2101.03222
Autor:
Celikbas, Ela, Celikbas, Olgur, Ciupercă, Cătălin, Endo, Naoki, Goto, Shiro, Isobe, Ryotaro, Matsuoka, Naoyuki
We introduce and develop the theory of weakly Arf rings, which is a generalization of Arf rings, initially defined by J. Lipman in 1971. We provide characterizations of weakly Arf rings and study the relation between these rings, the Arf rings, and t
Externí odkaz:
http://arxiv.org/abs/2006.01330
We analyze the structure of spinor coordinates on resolutions of Gorenstein ideals of codimension four. As an application we produce a family of such ideals with seven generators which are not specializations of Kustin-Miller model.
Comment: 26
Comment: 26
Externí odkaz:
http://arxiv.org/abs/1912.07510
In this paper we define an interesting family of perfect ideals of codimension three, with five generators, of Cohen-Macaulay type two with trivial multiplication on the Tor algebra. This family is likely to play a key role in classifying perfect ide
Externí odkaz:
http://arxiv.org/abs/1812.09736